Difficulties proving that a quadratic expression is composite

I am trying to prove the following statement:
There is a quadratic f(n) = n2 + bn + c with positive coefficients b and c, such that f(n) is composite.
I am facing difficulties on how to approach this proof and right now I have no idea on how to start. Could you please give me a hint?

Re: Difficulties proving that a quadratic expression is composite

Originally Posted by HallsofIvy

Take b= 3, c= 2. Then n^2+ 3n+ 2= (n+1)(n+2) is, for any n, the product of two integers and so composite.

Thank you very much. I completely forgot about the factorization. Based on your suggestion I elaborated the next line of thought:
Let q and p positive integers.
Define b = x+y, and b is a positive integer
Define c = xy, and c is a positive integer
Then n^2 + bn + c = n^2 + (x+y)n + xy = (n+x)(n+y) is composite.